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Finding the Fourth Proportional to 8,822.00, 13,234.20 and 3,274.88

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Solution

The fourth proportional to 8,822.00, 13,234.20 and 3,274.88 is: 4,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.00 : 13,234.20 = 3,274.88 : x
  2. Step 2: Convert to fraction form
    8,822.00/13,234.20 = 3,274.88/x
  3. Step 3: Cross multiply
    8,822.00x = 13,234.20 × 3,274.88
  4. Step 4: Simplify right side
    8,822.00x = 43,340,431.31
  5. Step 5: Solve for x
    x = 43,340,431.31/8,822.00
  6. Step 6: Final answer
    x = 4,912.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.